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Transport regimes of biphoton-state quantum walks in ordered and disordered arrays of nonlinear waveguides
Jefferson Delgado-Quesada, Edgar A. Rojas-González·November 10, 2025
Quantum Physics
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Abstract
A quantum walk in an ordered medium exhibits ballistic propagation. A related process is the driven quantum walk, in which the number of walkers varies along the propagation. In this work, we show that a driven quantum walk of biphoton states in an array of nonlinear waveguides does not propagate ballistically, but instead presents two transport regimes: superballistic and superdiffusive. We also study the effects of off-diagonal and diagonal disorder. In addition to the observation of Anderson localization, both types of disorder lead to the disappearance of the superballistic regime.